an elevator cab is pulled upward by a cable. the cab and its single occupant have a combined mass of 2200 kg. when the occupant drops a coin, its acceleration relative to the cab is 6.00 m/s2 downward. what is the tension in the cable?



Answer :

The tension in the cable is 13,200N

What do you mean by term "Tension"?

Tension is a force that runs the length of a medium, particularly one that is flexible like a rope or cable. An action-reaction pair of forces acting at each end of the aforementioned elements is what is referred to as tension.

The combined mass of the cab and elevator is =2200 kg

acceleration of coin with respect to the elevator =6.00 [tex]m/s^{2}[/tex]

[tex]a_{ce} = a_{cg} -a_{eg}[/tex]

[tex]a_{eg} = -9.8 + 6.0[/tex]

[tex]a_{eg} =3.8 m/s^{2}[/tex]

[tex]T = M (g - a_{eg} )[/tex]

   = 2200 kg (9.8 - 3.8)

   =13,200N

The tension in the cable is 13,200N

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